Pith Number

pith:45MAA7XS

pith:2019:45MAA7XS73OG66U4OV2BTFU26Y

not attested not anchored not stored refs pending

Reversible Maps and Products of Involutions in Groups of IETS

Isabelle Liousse (LPP), Nancy Guelman

arxiv:1907.01808 v1 · 2019-07-03 · math.DS · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{45MAA7XS73OG66U4OV2BTFU26Y}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-17T23:41:34.967937Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e758007ef2fedc6f7a9c757419969af60cd0394989d641ad9066db1071ea68e0

Aliases

arxiv: 1907.01808 · arxiv_version: 1907.01808v1 · doi: 10.48550/arxiv.1907.01808 · pith_short_12: 45MAA7XS73OG · pith_short_16: 45MAA7XS73OG66U4 · pith_short_8: 45MAA7XS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/45MAA7XS73OG66U4OV2BTFU26Y \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e758007ef2fedc6f7a9c757419969af60cd0394989d641ad9066db1071ea68e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bd0433b0d1e652e37546c53a3b289a863f944d882185811e5b6ac88d2ea67d5",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2019-07-03T09:23:39Z",
    "title_canon_sha256": "4c0b1d8f6a7be455b7f393aedda7c6de61e3a09fa59606ad9fbdefba8197226e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01808",
    "kind": "arxiv",
    "version": 1
  }
}